Notation | Definitions | Practice Problems | More Definitions lol | Associated or Not? |
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P(A) = 0
Notation for if event A never happens.
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Theoretical Probability
Reasoned by mathematical principles; idealistic
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With physical objects
With a computer or calculator's random number generator With a random number table
Three ways in which we can simulate a random sample.
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Probability Distribution
Shows us the outcomes of our random experiment and the probability of each outcome.
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Independent
P(A line B) = P (A)
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P(A) = 1
Notation for if event A always happens.
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Simulated/Experimental Probability
Estimated from simulations which, we hope, match
a real-life event |
Hospital B
Imagine the maternity wards in two different hospitals. Hospital A has 200 births every day. Hospital B has 10. This is the hospital that is most likely to have 80% or more boys assuming boys and girls are equally likely.
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Mutually exclusive events or disjoint
Events that can't both happen at the same time.
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Associated
P (A line B) doesn't equal P (A)
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P(A line B)
Notation for the Probability of A happening
given that B has happened. |
Observational Probability
Real-life outcomes from a random process
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0.71
The probability that a student is a member of Science club if it is known that she is a member of the Math club at Sunshine High school, where 45% of the students are members of the Math Club and 32% students are members of both Math and Science clubs.
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Conditional Probabilities
"Adjusted” probabilities, that adjust for information we
already know or we can assume to be true. |
Associated
P (Left line Female) doesn't equal P (left)
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P(G and B)
An example of "find the probability that a couple has a girl and a boy”
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Sample Space
The collection of all possible outcomes.
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12/25
The probability that three friends. Ann, Mary and Jane offering to cook three different main course items because the three women plan to share the cooking work, by each preparing a dish and there were 5 options given for the Main Course.
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Law of Large Numbers
Relative frequencies equal true probabilities but in the short run, they can be wildly different
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Independent
P (High Score line Girl) equals P (High score)
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A^c
The notation for "it does not rain" if event A is that it rains.
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Event
A collection of some of the outcomes.
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A and A^C
In a coin flip, pretend that Event A says the first flip is Heads and Event B says the second flip is Heads. Which events are mutually exclusive?
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Independent Events
What we call variables or events that are not associated.
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Associated
The probability that a professor at a conference is wearing a yellow shirt is not equal to the probability of people wearing a yellow shirt.
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